What is the Greatest Common Factor of 37086 and 37104?

Greatest common factor (GCF) of 37086 and 37104 is 6.

GCF(37086,37104) = 6

We will now calculate the prime factors of 37086 and 37104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37086 and 37104.

How to find the GCF of 37086 and 37104?

We will first find the prime factorization of 37086 and 37104. After we will calculate the factors of 37086 and 37104 and find the biggest common factor number .

Step-1: Prime Factorization of 37086

Prime factors of 37086 are 2, 3, 7, 883. Prime factorization of 37086 in exponential form is:

37086 = 2¹ × 3¹ × 7¹ × 883¹

Step-2: Prime Factorization of 37104

Prime factors of 37104 are 2, 3, 773. Prime factorization of 37104 in exponential form is:

37104 = 2⁴ × 3¹ × 773¹

Step-3: Factors of 37086

List of positive integer factors of 37086 that divides 37086 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 883, 1766, 2649, 5298, 6181, 12362, 18543

Step-4: Factors of 37104

List of positive integer factors of 37104 that divides 37086 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 773, 1546, 2319, 3092, 4638, 6184, 9276, 12368, 18552

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37086 and 37104. The biggest common factor number is the GCF number.
So the greatest common factor 37086 and 37104 is 6.

Also check out the Least Common Multiple of 37086 and 37104